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Carry-free full-symbol one-step modified signed-digit addition

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Abstract

Optical computing has advantages over electronic computing because it can carry much more information and process more data bits. Providing that carry-look-ahead is applied in optical computing in the same way electronic computing accomplishes addition calculation, it will be more inefficient because of the delay caused by a large number of serial carries. On the basis of the research on relations among the augend, addend, results, and the redundancy of modified signed-digit (MSD) number, the implementation method of carry-free one-step MSD addition is presented. Meanwhile, the corresponding logical light path scheme is designed in this paper. Extensive experimental results show that the proposed implementation method of one-step addition is correct, and the designed light path scheme is reasonable.

© 2017 Optical Society of America

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